1122102211121 has 8 divisors (see below), whose sum is σ = 1131144775488. Its totient is φ = 1113080850000.

The previous prime is 1122102211099. The next prime is 1122102211159. The reversal of 1122102211121 is 1211122012211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1122102211121 is a prime.

It is a super-3 number, since 3×1122102211121³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122102211121.

It is not an unprimeable number, because it can be changed into a prime (1122102211621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5194535 + ... + 5406236.

It is an arithmetic number, because the mean of its divisors is an integer number (141393096936).

Almost surely, 2^{1122102211121} is an apocalyptic number.

It is an amenable number.

1122102211121 is a deficient number, since it is larger than the sum of its proper divisors (9042564367).

1122102211121 is a wasteful number, since it uses less digits than its factorization.

1122102211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10601623.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1122102211121 its reverse (1211122012211), we get a palindrome (2333224223332).

The spelling of 1122102211121 in words is "one trillion, one hundred twenty-two billion, one hundred two million, two hundred eleven thousand, one hundred twenty-one".